A router has two full-duplex Ethernet interfaces each operating at 100 Mb/s.…

2006

A router has two full-duplex Ethernet interfaces each operating at 100 Mb/s. Ethernet frames are at least 84 bytes long (including the Preamble and the Inter-Packet-Gap). The maximum packet processing time at the router for wirespeed forwarding to be possible is (in micro­seconds)

  1. A.

    0.01

  2. B.

    3.36

  3. C.

    6.72

  4. D.

    8

Attempted by 30 students.

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Correct answer: B

Key calculation: compute the transmission time of the minimum Ethernet frame and then adjust for both interfaces.

Step 1: Convert the minimum frame size to bits.

  • Minimum frame = 84 bytes = 84 × 8 = 672 bits

Step 2: Compute transmit time at 100 Mb/s.

  • Transmit time for one minimum frame = 672 bits / 100,000,000 bits/s = 6.72 microseconds

Step 3: Account for two full‑duplex interfaces.

  • To sustain wirespeed without queuing when packets may arrive on both interfaces concurrently, the router must process each packet in at most half the single-frame transmit time.

  • Maximum processing time per packet = 6.72 μs / 2 = 3.36 microseconds

Answer: 3.36 microseconds

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